4. Proba ability Pedroia gets a hit is 29. Probability Bets gets a hit is .33. P

Question

4. Proba ability Pedroia gets a hit is 29. Probability Bets gets a hit is .33. Probability Benint endi gets a hit is .28. a. D. c. d. What is probability all 3 get hits? What is probability none get hits? What is probability at least one gets a hit? What is probability only Pedroia gets a hit? A card is drawn from a deck of cards. Events E1, E2, E3, E4 and E5 are defined as follows: E1: Getting an 8 E2: Getting a king E3: Getting a face card E4: Getting an ace E5: Getting a heart 5. 9 a) Are events E1 and E2 mutually exclusive? b) Are events E2 and E3 mutually exclusive? c) Are events E3 and E4 mutually exclusive? d) Are events E4 and E5 mutually exclusive? e) Are events E5 and E1 mutually exclusive? Two dice are rolled. We define events E1, E2, E3 and E4 as follows E1: Getting a sum equal to 10 E2: Getting a double E3: Getting a sum less than 4 E4: Getting a sum less to 7 6. a) Are events E1 and E2 mutually exclusive? b) Are events E2 and E3 mutually exclusive? c) Are events E3 and E4 mutually exclusive?

Explanation / Answer

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4) Ped = 0.29, Bets = 0.33, Benin = 0.28

a) all three get a hit = 0.29 * 0.33 * 0.28 = 0.026796

b) None get a hit = 0.71 * 0.67 * 0.72 = 0.342504

c) At leat one gets a hit = 1 - no one gets a hit = 1 - 0.342504 = 0.657496

d) Ped gets a hit * 0.67 * 0.72 = 0.139896

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